| Author: | Ok, E. |
| Title: | Fuzzy measurement of income inequality: some possibly results in the fuzzification of the Lorenz ordering |
| Journal: | Economic Theory
1996 : APR, VOL. 7:3, p. 513-530 |
| Index terms: | ECONOMICS THEORIES INCOMES |
| Language: | eng |
| Abstract: | This paper starts from the premise that the concept of income inequality is ill-defined, and hence, it studies the measurement of income inequality from a fuzzy set theoretical point of view. It is argued that the standard (fuzzy) transitivity concepts are not compatible with fuzzy inequality orderings which respect Lorenz ordering. For instance, the author shows that there does not exist a max-min transitive fuzzy relation on a given income distribution space which ranks distributions unambiguously according to the Lorenz criterion whenever they can actually be ranked by it. |
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